Видеотека: М. С. Ненашева, Connected components of Prym eigenform loci in genus five

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Теория римановых поверхностей: методы и приложения 12 ноября 2024 г. 16:45, г. Сочи, МЦ Сириус

Connected components of Prym eigenform loci in genus five M. S. Nenasheva National Research University Higher School of Economics, Moscow
Аннотация: Moduli spaces of holomorphic differentials on genus g Riemann surfaces admit a natural $GL_2(\mathbb{R})$ action. The known examples of orbifolds, which are unions of orbit closures for the $GL_2(\mathbb{R})$ action, are Prym eigenform loci, which are non-empty for the Riemann surfaces of genus no greater than 5, and in this talk I plan to tell about the number of the connected components of Prym eigenform loci for genus five surfaces. Язык доклада: английский